{"as_of":"2026-08-08T15:21:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a89371e20ade65959b234cf08b7a8fff4401465c7368cca2956eab3649a8b297","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T01:22:49.114447Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-02T07:16:44.880017Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1910.01635","last_updated":"2019-10-03T17:56:10Z","snapshot_observed_at":"2026-07-06T08:26:44.209184Z","submitted_at":"2019-10-03T17:56:10Z","title":"A Function Space View of Bounded Norm Infinite Width ReLU Nets: The Multivariate Case","version":1},"cited_work":{"arxiv_id":"1910.01635","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1910.01635","snapshot_observed_at":"2026-07-02T07:16:44.880017Z","title":"A function space view of bounded norm infinite width ReLu nets: The multivariate case","venue":null,"work_id":"a0755800-5265-46f8-aa11-202d179af288","year":1910},"citing_paper":{"arxiv_id":"2206.00939","last_updated":"2026-04-14T08:05:07Z","snapshot_observed_at":"2026-07-06T13:16:46.850618Z","submitted_at":"2022-06-02T09:01:25Z","title":"Gradient flow dynamics of shallow ReLU networks for square loss and orthogonal inputs","version":3},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-05-24T11:27:58.190151Z"},"links":{"cited_paper":"/paper/1910.01635","citing_paper":"/paper/2206.00939"},"observation_digest":"sha256:530cceb20357aba07a6ad31efebc704bbb0dfbc2ecb09e662051cfe5c53d7fc1","observation_id":"c4970f60-793a-4269-8c43-16e5e2fc7298","resolution":{"observed_at":"2026-05-24T11:29:24.926849Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1910.01635","last_updated":"2019-10-03T17:56:10Z","snapshot_observed_at":"2026-07-06T08:26:44.209184Z","submitted_at":"2019-10-03T17:56:10Z","title":"A Function Space View of Bounded Norm Infinite Width ReLU Nets: The Multivariate Case","version":1},"cited_work":{"arxiv_id":"1910.01635","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1910.01635","snapshot_observed_at":"2026-07-02T07:16:44.880017Z","title":"A function space view of bounded norm infinite width ReLu nets: The multivariate case","venue":null,"work_id":"a0755800-5265-46f8-aa11-202d179af288","year":1910},"citing_paper":{"arxiv_id":"2605.25057","last_updated":"2026-05-24T13:08:34Z","snapshot_observed_at":"2026-08-04T13:20:13.185236Z","submitted_at":"2026-05-24T13:08:34Z","title":"Random Neural Network Expressivity for Non-Linear Partial Differential Equations","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-06-29T23:47:02.293881Z"},"links":{"cited_paper":"/paper/1910.01635","citing_paper":"/paper/2605.25057"},"observation_digest":"sha256:8cbcc92ce576a6784e4ac641e9f10833e7689c6b3253d101d11528fc99304421","observation_id":"847f8fbe-0951-4bc0-b8c0-88218d296ec5","resolution":{"observed_at":"2026-06-30T00:04:06.948428Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1910.01635","last_updated":"2019-10-03T17:56:10Z","snapshot_observed_at":"2026-07-06T08:26:44.209184Z","submitted_at":"2019-10-03T17:56:10Z","title":"A Function Space View of Bounded Norm Infinite Width ReLU Nets: The Multivariate Case","version":1},"cited_work":{"arxiv_id":"1910.01635","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1910.01635","snapshot_observed_at":"2026-07-02T07:16:44.880017Z","title":"A function space view of bounded norm infinite width ReLu nets: The multivariate case","venue":null,"work_id":"a0755800-5265-46f8-aa11-202d179af288","year":1910},"citing_paper":{"arxiv_id":"2606.04476","last_updated":"2026-06-03T05:44:30Z","snapshot_observed_at":"2026-08-08T11:18:56.709201Z","submitted_at":"2026-06-03T05:44:30Z","title":"When Both Layers Learn: Training Dynamics of Representing Linear Models via ReLU Networks","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-06-28T07:02:26.496063Z"},"links":{"cited_paper":"/paper/1910.01635","citing_paper":"/paper/2606.04476"},"observation_digest":"sha256:13d4257c33f881102be989e6005ef0b8d0248ff5f7ff6a3ba99e149f657bdc44","observation_id":"b635dc95-e41e-498d-be21-720f3be637fd","resolution":{"observed_at":"2026-07-02T07:16:44.881944Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1910.01635","last_updated":"2019-10-03T17:56:10Z","snapshot_observed_at":"2026-07-06T08:26:44.209184Z","submitted_at":"2019-10-03T17:56:10Z","title":"A Function Space View of Bounded Norm Infinite Width ReLU Nets: The Multivariate Case","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1910.01635","snapshot_observed_at":"2026-07-31T01:28:51.514439Z","title":"A function space view of bounded norm infinite width ReLU nets: The multivariate case.arXiv preprint arXiv:1910.01635,","venue":null,"work_id":null,"year":1910},"citing_paper":{"arxiv_id":"2607.25100","last_updated":"2026-07-27T21:58:13Z","snapshot_observed_at":"2026-08-07T08:20:14.884654Z","submitted_at":"2026-07-27T21:58:13Z","title":"Elliptic Regularity Theory in Barron Spaces and Applications to the Deep Ritz Method","version":1},"reference_index":1996,"source":"pdf_text","source_observed_at":"2026-07-31T01:28:51.514439Z"},"links":{"cited_paper":"/paper/1910.01635","citing_paper":"/paper/2607.25100"},"observation_digest":"sha256:6e75505848dddb036a7229369efbd46d648188f1dc1af118e798f94ec4cf3421","observation_id":"5e3781c6-5881-49cd-a574-6c3b05e489e8","resolution":{"observed_at":"2026-07-31T01:28:51.514439Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1910.01635","last_updated":"2019-10-03T17:56:10Z","snapshot_observed_at":"2026-07-06T08:26:44.209184Z","submitted_at":"2019-10-03T17:56:10Z","title":"A Function Space View of Bounded Norm Infinite Width ReLU Nets: The Multivariate Case","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1910.01635","snapshot_observed_at":"2026-08-01T01:22:49.114447Z","title":"A function space view of bounded norm infinite width relu nets: The multivariate case","venue":null,"work_id":null,"year":1910},"citing_paper":{"arxiv_id":"2607.25905","last_updated":"2026-07-28T16:01:41Z","snapshot_observed_at":"2026-08-01T01:22:47.007334Z","submitted_at":"2026-07-28T16:01:41Z","title":"The Barron-Lipschitz Energy Gap and Depth Separation Phenomena in Scientific Machine Learning","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-01T01:22:49.114447Z"},"links":{"cited_paper":"/paper/1910.01635","citing_paper":"/paper/2607.25905"},"observation_digest":"sha256:afd57a1c570c92485a70b37eca392f5f5313c657a10615a3099ff774fbd35581","observation_id":"aaf9f8ac-bc47-4e64-9f04-9a0be85eb9ff","resolution":{"observed_at":"2026-08-01T01:22:49.114447Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1910.01635/citation-record","integrity":"/paper/1910.01635/integrity","json":"/paper/1910.01635/citation-record.json","paper":"/paper/1910.01635"},"outbound":[],"paper":{"arxiv_id":"1910.01635","last_updated":"2019-10-03T17:56:10Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-07-06T08:26:44.209184Z","submitted_at":"2019-10-03T17:56:10Z","title":"A Function Space View of Bounded Norm Infinite Width ReLU Nets: The Multivariate Case"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:1910.01635."}